That squat looks ok Delvis, you aren't going to damage yourself doing it.
The foot thing is odd because it does look like you are lifting your heel slightly but then if you watch the foot for the whole rep the toe also moves around a bit so I'm not entirely sure what you are doing there. If you could do another video without socks that may provide better insight, and really try to focus on having pressure on all of your foot but keeping the majority going through your heel.
I wouldn't bother with lifting shoes, they aren't cheap and for you there is no point. They are good if you are doing something like competitive oly lifting because the the extension they give in the ankle allows more quad to be recruited into the movement. However lots of people buy them because they have crummy ankle ROM and struggle to get into a powerful bottom position but lifting shoes negate the ankle problems because of the support. My brother and I always squat barefoot or in vibrams and there is nothing wrong with it.
I think form wise the only thing you need to focus on more is really emphasizes the glute drive all of the way through the movement. For example:
Some of my brother's squats
And some of my goblets
Also you'll notice that the knee always come forwards on those videos. There is also nothing wrong with this if you are doing it correctly, that is with your knees coming outside your foot base. This is explained lots it Kelly Starret's videos (Mwod) so I won't bother with it too much but essentially the more you can throw your knees out the better as long as you aren't compromising other areas of the form.
Wow, that was longer than I thought
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, none the less it's looking good keep it up.